1011672640 has 112 divisors (see below), whose sum is σ = 2645322624. Its totient is φ = 365465600.

The previous prime is 1011672619. The next prime is 1011672643. The reversal of 1011672640 is 462761101.

It is a junction number, because it is equal to n+sod(n) for n = 1011672599 and 1011672608.

It is not an unprimeable number, because it can be changed into a prime (1011672643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586980 + ... + 588700.

It is an arithmetic number, because the mean of its divisors is an integer number (23618952).

Almost surely, 2^1011672640 is an apocalyptic number.

1011672640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322661312).

1011672640 is an abundant number, since it is smaller than the sum of its proper divisors (1633649984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011672640 is a wasteful number, since it uses less digits than its factorization.

1011672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1011672640 is about 31806.8017882968. The cubic root of 1011672640 is about 1003.8758384684.

The spelling of 1011672640 in words is "one billion, eleven million, six hundred seventy-two thousand, six hundred forty".